The \(\sim 4\sigma \)  tension between the Hubble parameter measured by late universe observations by the SH0ES collaboration [1]} and the one measured from the cosmic microwave background (CMB) by the Planck Collaboration ([2]}) is one of the major stumbling block in front of modern cosmology and the theories aiming to explain the evolution of the Universe ([3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}). The default \(\Lambda \) CDM model which uses a combination between cold dark matter and dark energy components has been shown to fit remarkably well current astronomical observations yet it fails to explain not only the beginning of the universe (the inflationary epoch) but also the Hubble tension and the related \(\sigma _8\)  tension.
